Sturm-Liouville Theory and its Applications

• Κύριος συγγραφέας: Al-Gwaiz, M. A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2008.
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Differential equations.; Special functions.; Physics.; Applied mathematics.; Engineering mathematics.; Analysis.; Functional Analysis.; Special Functions.; Ordinary Differential Equations.; Appl.Mathematics/Computational Methods of Engineering.; Mathematical Methods in Physics.

Undergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric content which comes with treating the subject within the inner product space L2. This book, developed from a course taught to senior undergraduates, provides a unified introduction to F...

Πίνακας περιεχομένων:

• Inner Product Space
• The Sturm–Liouville Theory
• Fourier Series
• Orthogonal Polynomials
• Bessel Functions
• The Fourier Transformation
• The Laplace Transformation.